Identify 19th term of a geometric sequence where a1 = 14 and a9 = 358.80

Marilyn Cameron 2022-10-24 Answered
Identify 19th term of a geometric sequence where a1 = 14 and a9 = 358.80
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Answers (1)

scranna0o
Answered 2022-10-25 Author has 16 answers
The general term of a Geometric Sequence is given by
a n = a r n - 1
Where a is the first term also known as a 1 and r is the common ratio.
We have a 1 if we get r we can easily find a 19 by using 19 for n
Let us start by writing the given term using r
a 9 = a r 8
If we divide a 9 by a 1 we would get an equation in r
a r 8 a = 358.80 14
r 8 = 25.628571428571428571428571428571
Taking 8th root.
r = 25.628571428571428571428571428571 8
#r=1.4999975504465127405341330547934"
r 1.5
a 19 = 14 ( 1.5 ) 19
a 19 = 31 , 035.729480743408203125
a 19 31035.73
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